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Finding the Fourth Proportional to 513,044.69, 769,568.85 and 302,535

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Solution

The fourth proportional to 513,044.69, 769,568.85 and 302,535 is: 453,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,044.69 : 769,568.85 = 302,535 : x
  2. Step 2: Convert to fraction form
    513,044.69/769,568.85 = 302,535/x
  3. Step 3: Cross multiply
    513,044.69x = 769,568.85 × 302,535
  4. Step 4: Simplify right side
    513,044.69x = 232,821,512,034.75
  5. Step 5: Solve for x
    x = 232,821,512,034.75/513,044.69
  6. Step 6: Final answer
    x = 453,803.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.